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Finding the Fourth Proportional to 168.49, 234.08 and 166.83

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Solution

The fourth proportional to 168.49, 234.08 and 166.83 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 234.08 = 166.83 : x
  2. Step 2: Convert to fraction form
    168.49/234.08 = 166.83/x
  3. Step 3: Cross multiply
    168.49x = 234.08 × 166.83
  4. Step 4: Simplify right side
    168.49x = 39,050.48
  5. Step 5: Solve for x
    x = 39,050.48/168.49
  6. Step 6: Final answer
    x = 231.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.